Capital Misallocation and Aggregate Factor Productivity

We propose a sectoral–shift theory of aggregate factor productivity for a
class of economies with AK technologies, limited loan enforcement, and a constant
production possibilities frontier. Both the growth rate and TFP respond
to random and persistent endogenous fluctuations in the sectoral distribution
of physical capital which, in turn, responds to reversible exogenous shifts in
relative sector productivities. Surplus capital from less productive sectors is
lent to more productive ones in the form of secured collateral loans, as in
Kiyotaki–Moore (1997), and also as unsecured reputational loans suggested
in Bulow–Rogoff (1989). Endogenous debt limits slow down capital reallocation,
preventing the equalization of risk–adjusted equity yields across sectors.
Economy–wide factor productivity and the aggregate growth rate are both
negatively correlated with the dispersion of sectoral rates of return, sectoral
TFP and sectoral growth rates. We also find highly volatile limit cycles in
economies with small amounts of collateral.